2032957440 has 576 divisors, whose sum is σ = 7870262400. Its totient is φ = 501645312.

The previous prime is 2032957439. The next prime is 2032957441. The reversal of 2032957440 is 447592302.

2032957440 is a `hidden beast` number, since 20 + 3 + 29 + 574 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2032957439) and next prime (2032957441).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2032957395 and 2032957404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032957441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47278059 + ... + 47278101.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 2^2032957440 is an apocalyptic number.

2032957440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2032957440 is an abundant number, since it is smaller than the sum of its proper divisors (5837304960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2032957440 is an equidigital number, since it uses as much as digits as its factorization.

2032957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2032957440 is about 45088.3293103659. The cubic root of 2032957440 is about 1266.8040084996.

The spelling of 2032957440 in words is "two billion, thirty-two million, nine hundred fifty-seven thousand, four hundred forty".